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Finding the Fourth Proportional to 10,396.26, 14,346.09 and 5,679.54

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Solution

The fourth proportional to 10,396.26, 14,346.09 and 5,679.54 is: 7,837.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.26 : 14,346.09 = 5,679.54 : x
  2. Step 2: Convert to fraction form
    10,396.26/14,346.09 = 5,679.54/x
  3. Step 3: Cross multiply
    10,396.26x = 14,346.09 × 5,679.54
  4. Step 4: Simplify right side
    10,396.26x = 81,479,192.00
  5. Step 5: Solve for x
    x = 81,479,192.00/10,396.26
  6. Step 6: Final answer
    x = 7,837.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.